32.57 is what percent of 0.26 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 0.26 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 0.26, so we can write it down as 100%=0.26.
4. We know, that x% equals 32.57 of the output value, so we can write it down as x%=32.57.
5. Now we have two simple equations:
1) 100%=0.26
2) x%=32.57
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=0.26/32.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.57 is what percent of 0.26

100%/x%=0.26/32.57
(100/x)*x=(0.26/32.57)*x       - we multiply both sides of the equation by x
100=0.0079828062634326*x       - we divide both sides of the equation by (0.0079828062634326) to get x
100/0.0079828062634326=x
12526.923076923=x
x=12526.923076923

now we have:
32.57 is 12526.923076923% of 0.26